{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Уровень 0\n",
    "посчитайте значение 1-ой и 2-ой производной фунции\n",
    "f(x) = x^5 + 4sin(2x) + cos(3x+3) в точке x = 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import scipy.misc\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def func_1(x):\n",
    "    return x**5 + 4*np.sin(2*x) + np.cos(3*x+3)\n",
    "\n",
    "x = np.linspace(-100, 100, 500)\n",
    "y = np.array([func_1(x_val) for x_val in x])\n",
    "\n",
    "plt.plot(x, y)\n",
    "plt.title('График функции f(x) = x^5 + 4sin(2x) + cos(3x+3)', pad=30)\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Значение первой производной функции в точке x=1: 2.509071801881646\n",
      "Значение второй производной функции в точке x=1: -3.19033688356285\n"
     ]
    }
   ],
   "source": [
    "x = 1\n",
    "print(f'Значение первой производной функции в точке x={x}:', scipy.misc.derivative(func_1, 1, n=1, dx=1e-6))\n",
    "print(f'Значение второй производной функции в точке x={x}:', scipy.misc.derivative(func_1, 1, n=2, dx=1e-6))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Уровень 1\n",
    "\n",
    "Постройте график первой и второй производной функции\n",
    "(sin(2x+1))^5\n",
    "на отрезке [-5; 5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def func_2(x):\n",
    "    return np.sin(2*x+1)**5\n",
    "\n",
    "x = np.linspace(-5, 5, 100)\n",
    "y = np.array([func_2(x_val) for x_val in x])\n",
    "\n",
    "derivative_n1 = scipy.misc.derivative(func_2, x, n=1, dx=1e-6)\n",
    "derivative_n2 = scipy.misc.derivative(func_2, x, n=2, dx=1e-6)\n",
    "\n",
    "plt.plot(x, y, label='Функция')\n",
    "plt.plot(x, derivative_n1, '--r', label='Первая производная')\n",
    "plt.plot(x, derivative_n2, '--y', label='Вторая производная')\n",
    "plt.title('График функции f(x) = (sin(2x+1))^5 и ее производных', pad=15)\n",
    "plt.grid()\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
